17 citations · 34 across the 8 of their papers we have counts for
6 papers · 1 filter
Quantum Steenrod powers and Hamiltonian maps
Shaoyun Bai, Egor Shelukhin, Nicholas Wilkins +1
We prove a series of new results in Hamiltonian dynamics on a general closed symplectic manifold , including: 1. If admits a Hamiltonian diffeomorphism which is either…
A survey of equivariant operations on quantum cohomology for symplectic manifolds
Nicholas Wilkins
In this survey paper, we will collate various different ideas and thoughts regarding equivariant operations on quantum cohomology (and some in more general Floer theory) for a symp…
-localisation by pseudocycles, lifts to -localisation of moduli spaces, and application to invariants of -equivariant symplectic cohomology
Nicholas Wilkins
We demonstrate a way to apply -localisation to moduli spaces of holomorphic curves. We first prove a reinterpretation of Atyiah-Bott -localisation, called {\it localisati…
Covariant constancy of quantum Steenrod operations
Paul Seidel, Nicholas Wilkins
We prove a relationship between quantum Steenrod operations and the quantum connection. In particular there are operations extending the quantum Steenrod power operations that, whe…
Quantum Steenrod squares and the equivariant pair-of-pants in symplectic cohomology
Nicholas Wilkins
We relate the quantum Steenrod square to Seidel's equivariant pair-of-pants product for open convex symplectic manifolds that are either monotone or exact, using an equivariant ver…
A construction of the quantum Steenrod squares and their algebraic relations
Nicholas Wilkins
We construct a quantum deformation of the Steenrod square construction on closed monotone symplectic manifolds, based on the work of Fukaya, Betz and Cohen. We prove quantum versio…